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Finding the Third Proportional to 924.56 and 1,993.69

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Solution

The third proportional to 924.56 and 1,993.69 is: 4,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.56 : 1,993.69 = 1,993.69 : x
  2. Step 2: Convert to fraction form
    924.56/1,993.69 = 1,993.69/x
  3. Step 3: Cross multiply
    924.56x = 1,993.69 × 1,993.69
  4. Step 4: Simplify right side
    924.56x = 3,974,789.85
  5. Step 5: Solve for x
    x = 3,974,789.85/924.56
  6. Step 6: Final answer
    x = 4,299.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.